Department of

Mathematics


Seminar Calendar
for events the day of Friday, March 7, 2014.

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Questions regarding events or the calendar should be directed to Tori Corkery. 
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Friday, March 7, 2014

1:00 pm in 341 Altgeld Hall,Friday, March 7, 2014
Differential Geometry

Immersions into Robertson-Walker spacetimes

Marie-Amelie Lawn (U Texas )

Abstract: Robertson-Walker spacetimes are special cases of pseudo-Riemannian warped products which arise as exact solutions of the Einstein field equations in general relativity. We will consider hypersurfaces of such spaces and give a necessary and su?cient condition for a Riemannian manifold to locally isometrically immerse into them. If we have more time, we will speak about generalized associated families of surface immersions into 3D Robertson-Walker and homogeneous spaces.

Submitted by sba
3:00 pm in 343 Altgeld Hall,Friday, March 7, 2014
Algebra, Geometry and Combinatorics

Zeros of characters for the symmetric group

Alexander Miller (University of Minnesota)

Abstract: Let X be chosen at random from the irreducible characters of the symmetric group of degree n and let g be chosen at random from the group itself. What is the probability that X(g) equals 0? We show that the probability tends to 1 as n tends to infinity and discuss some natural variations of the question.

Submitted by ayong
3:00 pm in 243 Altgeld Hall,Friday, March 7, 2014
Graduate Geometry Topology Seminar

Brought to you by the letter B

Sarah Yeakel (UIUC Math)

Abstract: Topologists tend to hide a lot of machinery in notation. One goal of this talk is to motivate the use of the letter B for classifying spaces of principal bundles in view of the algebraic bar construction (also denoted with a B). We'll spend the rest of the talk basking in the beauty and bearings of the brazenly beneficial bar construction.

Submitted by collier3
4:00 pm in 347 Altgeld Hall,Friday, March 7, 2014
Special Algebra Seminar

Symplectic resolutions, hypertoric varieties, and special polynomials

Travis Schedler (University of Texas-Austin)

Abstract: Hypertoric varieties are the symplectic analogue of toric varieties, obtained by Hamiltonian reduction of a symplectic vector space by a torus. The resulting cone is singular, but under mild conditions admits a symplectic resolution of singularities. With Etingof I have defined a new cohomology theory, Poisson-de Rham cohomology, which conjecturally recovers the de Rham cohomology of the resolution. I will prove this conjecture in the hypertoric case, via joint work with Proudfoot. Moreover this cohomology theory comes with an extra weight grading, which we show recovers a variant of the Tutte polynomial of the associated hyperplane arrangement. The arguments apply to general symplectic varieties; in the case of slices to nilpotent coadjoint orbit closures for semisimple Lie groups, we recover Kostka polynomials. The talk will not require prior familiarity with any of the mentioned topics.

Submitted by nevins
4:00 pm in 345 Altgeld Hall,Friday, March 7, 2014
Model Theory and Descriptive Set Theory Seminar

Embedding E_0

Slawomir Solecki (UIUC Math)

Abstract: We will read the paper ``An embedding theorem of E_0 with model theoretic applications" by Kaplan and Miller (http://arxiv.org/pdf/1308.5515v1.pdf)

Submitted by phierony